Question

The range of 4 +5cosx is equal yo

Answer 1

Step-by-step explanation:

-1<cosx<1

-5<5cosx<5

-1<4+5cosx<9

4+5cosx€[-1,9]

Answer 2

The range of 4 +5cosx is ∈{-1, 9}.

Given,

The expression, 4+5cos x.

To Find,

The range of the expression,  4+5cos x.

Solution,

We can solve this mathematical problem using the following method.

We know that cos x ranges between -1 to +1 .

Which means,

$-1\leq cos x \leq +1$

If we multiply by 5 we get,

$-5\leq 5cos x\leq +5$

If we add 4 to all sides we get,

$-5+4\leq 4+5cos x\leq 4+5.$

⇒$-1\leq 4+5cos x \leq 9$.

So, 4+5cos x ranges between -1 to 9.

Hence, The range of 4 +5cosx is ∈{-1, 9}.

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